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What is the solution to the long multiplication equation below? 664 x 590 Think step by step.
391760
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n664 x 590\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 664, \"arg2\": 590, \"solution\": 391760}", "task_source": "longmult"}
[ "Certainly! Let's solve this problem step-by-step using the standard method of long multiplication.\n\n### Step 1: Set up the multiplication.\nWe need to multiply two numbers: \\( 664 \\) and \\( 590 \\).\n\n```\n 664\n × 590\n _______\n```\n\n### Step 2: Multiply 664 by each digit in 590 from right...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n664 x 590\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 162 x 224 Think step by step.
36288
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n162 x 224\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 162, \"arg2\": 224, \"solution\": 36288}", "task_source": "longmult"}
[ "To solve \\( 162 \\times 224 \\), we can break it down into simpler multiplications using the distributive property of multiplication over addition.\n\n### Step-by-Step Solution:\n\n1. **Break down 224:**\n - Notice that \\( 224 = 200 + 20 + 4 \\).\n\n2. **Multiply each part by 162 separately and then add the re...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n162 x 224\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 376 x 982 Think step by step.
369232
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n376 x 982\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 376, \"arg2\": 982, \"solution\": 369232}", "task_source": "longmult"}
[ "To solve the long multiplication problem \\(376 \\times 982\\), we will break it down into smaller steps:\n\n1. **Multiply each digit of the first number (376) by each digit of the second number (982):**\n\n - Multiply 376 by 2:\n \\[\n 376 \\times 2 = 752\n \\]\n \n - Multiply 376 by 80 (which i...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n376 x 982\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 452 x 548 Think step by step.
247696
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n452 x 548\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 452, \"arg2\": 548, \"solution\": 247696}", "task_source": "longmult"}
[ "To solve the long multiplication problem \\( 452 \\times 548 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n ```\n 452\n × 548\n _______\n ```\n\n2. **Multiply each digit of the top number (452) by the units digit of the bottom number (8):**\n\n - Multiply 452 by 8:\n `...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n452 x 548\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 519 x 630 Think step by step.
326970
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n519 x 630\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 519, \"arg2\": 630, \"solution\": 326970}", "task_source": "longmult"}
[ "Certainly! Let's solve this problem using long multiplication.\n\n### Step-by-Step Solution:\n\n#### Step 1: Write down the numbers vertically.\n```\n 519\n × 630\n ___________\n```\n\n#### Step 2: Multiply 519 by 0 (the units digit of 630).\n```\n 519\n × 630\n _________\n 0 519\n```\n\...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n519 x 630\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 223 x 751 Think step by step.
167473
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n223 x 751\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 223, \"arg2\": 751, \"solution\": 167473}", "task_source": "longmult"}
[ "To solve \\( 223 \\times 751 \\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem\nWrite the numbers vertically:\n```\n 223\n × 751\n```\n\n### Step 2: Multiply each digit of the second number (751) by the first digit of the first number (2)\n- \\( 2 \\times 1 = 2 \\) (write ...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n223 x 751\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 581 x 456 Think step by step.
264936
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n581 x 456\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 581, \"arg2\": 456, \"solution\": 264936}", "task_source": "longmult"}
[ "To solve \\( 581 \\times 456 \\) using long multiplication:\n\nStep 1: Write down the numbers in columns:\n```\n 581\n× 456\n------\n```\n\nStep 2: Multiply each digit of the first number (581) by the units digit of the second number (6).\n```\n 3406\n```\nThis comes from \\( 581 \\times 6 = 3486 \\).\n\n...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n581 x 456\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 928 x 156 Think step by step.
144768
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n928 x 156\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 928, \"arg2\": 156, \"solution\": 144768}", "task_source": "longmult"}
[ "Certainly! Let's solve this problem step by step using the standard method of long multiplication.\n\n### Step-by-Step Solution:\n\n#### 1. Set up the multiplication:\n```\n 928\n × 156\n ------\n```\n\n#### 2. Multiply 928 by 6 (the ones digit of 156):\n```\n 5568\n × 928\n ------\n 7...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n928 x 156\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 108 x 679 Think step by step.
73332
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n108 x 679\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 108, \"arg2\": 679, \"solution\": 73332}", "task_source": "longmult"}
[ "Certainly! Let's solve this problem step-by-step:\n\n### Step 1: Write down the numbers\nWe have:\n- 108 (the multiplicand)\n- 679 (the multiplier)\n\n### Step 2: Multiply each digit of the multiplicand by the first digit of the multiplier\nFirst, multiply 108 by 6:\n```\n 108\n × 6\n _______\n 648\...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n108 x 679\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 375 x 667 Think step by step.
250125
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n375 x 667\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 375, \"arg2\": 667, \"solution\": 250125}", "task_source": "longmult"}
[ "To solve the long multiplication problem \\( 375 \\times 667 \\), we will follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers vertically, aligning them by place value.\n\n```\n 375\n× 667\n------\n```\n\n2. **Multiply each digit of the bottom number by the top number**:\n \n - ...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n375 x 667\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 669 x 813 Think step by step.
543897
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n669 x 813\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 669, \"arg2\": 813, \"solution\": 543897}", "task_source": "longmult"}
[ "To solve \\(669 \\times 813\\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem.\nWrite the numbers one under the other:\n```\n 669\n × 813\n-------------------\n```\n\n### Step 2: Multiply 669 by 3 (the ones digit of 813).\n- Multiply 669 by 3:\n ```\n 669\n× 3\n-----...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n669 x 813\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 430 x 729 Think step by step.
313470
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n430 x 729\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 430, \"arg2\": 729, \"solution\": 313470}", "task_source": "longmult"}
[ "Certainly! Let's solve the long multiplication problem \\(430 \\times 729\\) step by step.\n\n### Step 1: Break down the numbers into smaller parts.\nWe can break down the numbers as follows:\n- \\(430 = 400 + 30\\)\n- \\(729 = 700 + 20 + 9\\)\n\n### Step 2: Multiply each part of one number with each part of the o...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n430 x 729\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 216 x 593 Think step by step.
128088
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n216 x 593\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 216, \"arg2\": 593, \"solution\": 128088}", "task_source": "longmult"}
[ "To solve the multiplication problem \\(216 \\times 593\\), you can break it down into simpler steps using the distributive property of multiplication over addition:\n\nStep 1: Break down 593 into its place values.\n- \\(500\\) (thousands)\n- \\(90\\) (tens)\n- \\(3\\) (ones)\n\nSo, \\(593 = 500 + 90 + 3\\).\n\nSte...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n216 x 593\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 583 x 976 Think step by step.
569008
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n583 x 976\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 583, \"arg2\": 976, \"solution\": 569008}", "task_source": "longmult"}
[ "Certainly! Let's solve this long multiplication problem step by step:\n\n1) First, let's set up our numbers:\n 583\n x 976\n\n2) We'll start multiplying from the rightmost digit of both numbers and work our way left.\n\n3) Multiply 583 by 6 (the ones place in 976):\n 583 x 6 = 3498\n\n4) Write down 8 and car...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n583 x 976\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 941 x 797 Think step by step.
749977
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n941 x 797\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 941, \"arg2\": 797, \"solution\": 749977}", "task_source": "longmult"}
[ "Certainly! Let's solve the problem of multiplying 941 by 797 using long multiplication.\n\n### Step-by-Step Solution:\n\n#### First Multiplication:\nMultiply 941 by 7 (the ones digit of 797):\n```\n 941\n × 7\n-----------------\n 6587\n```\n\n#### Second Multiplication:\nNow multiply 941 by 90 (the te...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n941 x 797\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 490 x 904 Think step by step.
442960
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n490 x 904\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 490, \"arg2\": 904, \"solution\": 442960}", "task_source": "longmult"}
[ "To solve \\( 490 \\times 904 \\), we can break it down into simpler multiplications:\n\n1. **Breakdown of Multiplication**:\n - First, multiply 490 by 4.\n - Then, multiply 490 by 90.\n\n2. **Multiplying 490 by 4**:\n \\[\n 490 \\times 4 = 1960\n \\]\n\n3. **Multiplying 490 by 90**:\n \\[\n 490 \\tim...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n490 x 904\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 170 x 938 Think step by step.
159460
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n170 x 938\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 170, \"arg2\": 938, \"solution\": 159460}", "task_source": "longmult"}
[ "To solve \\( 170 \\times 938 \\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem\nWrite down the numbers vertically:\n```\n 170\n × 938\n```\n\n### Step 2: Multiply each digit of the second number (938) by the first digit of the first number (1)\n- First, multiply 170 by 8:\n...
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{ "api_url": "http://127.0.0.1:50995/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "temperature": 0.8 }, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "prompt": [ { "content": "What is the solution to the long multiplication equation below?\n\n170 x 938\n\nThink step by step.", "role": "user" } ] }
{ "backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct", "n_responses": 8 }
What is the solution to the long multiplication equation below? 533 x 668 Think step by step.
356044
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n533 x 668\n\nThink step by step.", "role": "user" } ]
[]
[]
{"metadata": "{\"arg1\": 533, \"arg2\": 668, \"solution\": 356044}", "task_source": "longmult"}
[ "To solve the long multiplication of \\(533 \\times 668\\), we will follow these steps:\n\n1. **Set up the problem:**\n ```\n 533\n × 668\n ```\n\n2. **Multiply each digit of 668 by the units place of 533 (which is 3):**\n - \\(3 \\times 8 = 24\\) Write down 4 and carry over 2.\n - \\(3 \\times 6 + 2...
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What is the solution to the long multiplication equation below? 711 x 158 Think step by step.
112338
longmult_3dig
longmult
[ { "content": "What is the solution to the long multiplication equation below?\n\n711 x 158\n\nThink step by step.", "role": "user" } ]
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{"metadata": "{\"arg1\": 711, \"arg2\": 158, \"solution\": 112338}", "task_source": "longmult"}
[ "Certainly! Let's solve the multiplication problem \\( 711 \\times 158 \\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Break down the numbers into parts for easier calculation.\nWe can break down each number:\n- \\( 711 = 700 + 10 + 1 \\)\n- \\( 158 = 100 + 50 + 8 \\)\n\nSo, we need to calculate:\n\...
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